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12066221312 = 28173272449
BaseRepresentation
bin10110011110011001…
…11110110100000000
31011010220201112220122
423033030332310000
5144202423040222
65313152555412
7605004121535
oct131714766400
934126645818
1012066221312
115132081732
122408b52b68
1311a3aac432
14826738d8c
154a94a1a42
hex2cf33ed00

12066221312 has 36 divisors (see below), whose sum is σ = 24224619300. Its totient is φ = 5998215168.

The previous prime is 12066221303. The next prime is 12066221333. The reversal of 12066221312 is 21312266021.

It is a happy number.

12066221312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10163865856 + 1902355456 = 100816^2 + 43616^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91937 + ... + 180512.

Almost surely, 212066221312 is an apocalyptic number.

It is an amenable number.

12066221312 is an abundant number, since it is smaller than the sum of its proper divisors (12158397988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12066221312 is an equidigital number, since it uses as much as digits as its factorization.

12066221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272638 (or 272624 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 12066221312 its reverse (21312266021), we get a palindrome (33378487333).

The spelling of 12066221312 in words is "twelve billion, sixty-six million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 692 1384 2768 5536 11072 22144 44288 272449 544898 1089796 2179592 4359184 8718368 17436736 34873472 47133677 69746944 94267354 188534708 377069416 754138832 1508277664 3016555328 6033110656 12066221312